Question

solve 1/5(3x-4)+1/6(3x+1)=7/15

Answer 1

Answer:

Answer is given below please mark as brain list

Step-by-step explanation:

1/5(3x-4)+1/6(3x+1)=7/15

3x/5-4/5+3x/6+1/6=7/15

3x/5+3x/6=7/15-1/6+4/5

(3x×6+3x×5)/30=(7×2-1×5+4×6)/30

(18x+15x)/30=(14-5+24)/30

33x/30=33/30

33x=33

x=33/33

x=1...ans

Answer 2

$\sf{\red{\boxed{\huge{Solution}}}}$

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$\sf: \implies\: {\bold{ \dfrac{1}{5}( 3x - 4) + \dfrac{1}{6}( 3x + 1) = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ \dfrac{3x-4}{5} = \dfrac{3x+1}{6} = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ \dfrac{6( 3x - 4) + 5( 3x + 1)}{30} = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ \dfrac{18x - 24 + 15x + 5}{30} = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ \dfrac{18x + 15x - 24 + 5}{30} = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ \dfrac{33x - 19}{30} = \dfrac{7}{15}}}$

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$\sf: \implies\: {\bold{ {33x - 19} = \dfrac{7\times 30}{15}}}$

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$\sf: \implies\: {\bold{ {33x - 19} = {7\times 2 }}}$

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$\sf: \implies\: {\bold{ {33x - 19} = {14 }}}$

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$\sf: \implies\: {\bold{ {33x } = {14 + 19 }}}$

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$\sf: \implies\: {\bold{ 33x = 33 }}$

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$\sf: \implies\: {\bold{ x =\dfrac{33}{33} }}$

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$\sf: \implies\: {\bold{ x = 1 }}$

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